State whether the following statement is true or false:
When velocity is halved,its kinetic energy becomes $\frac{1}{4}^{th}$ of its original value.

(TRUE) The statement is True.
Kinetic energy $(KE)$ is given by the formula: $KE = \frac{1}{2}mv^2$,where $m$ is mass and $v$ is velocity.
If the velocity is halved,the new velocity $v' = \frac{v}{2}$.
The new kinetic energy $KE'$ will be: $KE' = \frac{1}{2}m(v')^2 = \frac{1}{2}m(\frac{v}{2})^2 = \frac{1}{2}m(\frac{v^2}{4}) = \frac{1}{4} (\frac{1}{2}mv^2) = \frac{1}{4} KE$.
Therefore,the kinetic energy becomes $\frac{1}{4}^{th}$ of the original kinetic energy.